How to solve this definite integral

1. Feb 9, 2010

flyers

1. The problem statement, all variables and given/known data

3. The attempt at a solution

I have no idea how to start this integral. Can anybody give me a hint to start it off?
Thank you.

2. Feb 9, 2010

Dick

Sketch a graph. Anything strike you about the relation between the part of the graph for x<0 vs x>0?

3. Feb 9, 2010

flyers

Well I noticed that x>0 is the reflection of x<0 except with negative values. Does this mean that the answer is 0? Also is it even possible to solve this integral?

4. Feb 9, 2010

Dick

No, you aren't going to get far trying to find an indefinite integral. But the definite integral is zero. In general, if f(-x)=(-f(x)) then the integral over a symmetric interval around zero is zero. You can formally show this by splitting the integral into two parts and working out their relation by doing the substitution u=(-x).